This paper is concerned with the evolution of a particulate assemblage of ellipsoidal particles in a metastable liquid with allowance for arbitrary nucleation kinetics. First, the growth of a single ellipsoidal particle is considered and its growth rate is found in the prolate ellipsoid of revolution coordinate system. Taking this into account we formulate the growth model for a polydisperse ensemble of particles in a supercooled or supersaturated liquid. This model is solved analytically using the saddle-point technique. The fundamental contributions to the particle-volume distribution function and the liquid metastability are obtained. The Meirs and Weber–Volmer–Frenkel–Zel’dovich nucleation kinetics are considered as special cases. The theory under consideration transforms into the growth of spherical aggregates in a particular limiting case, which is also described analytically.

本文关注的是亚稳液体中椭圆形颗粒组合的演化，并允许任意成核动力学。首先，考虑单个椭圆体粒子的生长，并在旋转坐标系的长椭球体中找到其生长速率。考虑到这一点，我们为过冷或过饱和液体中的颗粒的多分散集合建立了生长模型。使用鞍点技术可解析地求解该模型。获得了对颗粒体积分布函数和液体亚稳定性的基本贡献。Meirs和Weber-Volmer-Frenkel-Zel'dovich成核动力学被认为是特例。在特定的限制情况下，正在考虑的理论转化为球形聚集体的生长，